Question

x+y=2 and 2x+5y=16
what is the solution

Answer 1

Do you just want the answer or the work to solve it

Answer 2

work so i could solve other ones

Answer 3

x+y=2 and
2x+5y=16 for the variables x and y.

This means, see if it can be simplified at all before attempting to solve it.
x+y evaluates to x+y

So, all-in-all, your first equation can be written as: x+y = 2

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Now, let's work on your second equation,2x+5y=16 Multiply x and 2
Multiply x and 1


answer is x
2*x evaluates to 2x
Multiply y and 5

Multiply y and 1


The y just gets copied along.

The answer is y

roblem to solve is:
The goal here is to solve
x+y=2 and
2x+5y=16 for the variables x and y.
First, let's work on your first equation,x+y=2

This means, see if it can be simplified at all before attempting to solve it.
x+y evaluates to x+y

So, all-in-all, your first equation can be written as: x+y = 2

Now, let's work on your second equation,2x+5y=16 Multiply x and 2

Multiply x and 1


The x just gets copied along.

The answer is x

x

2*x evaluates to 2x

Multiply y and 5

Multiply y and 1


(The y just gets copied along.)

The answer is y
y
5*y evaluates to 5y
2*x+5*y evaluates to 2x+5y
So, all-in-all, your second equation can be written as: 2x+5y = 16

After this initial survey of the equations, the system of equations we'll set out to solve is:
x+y = 2 and 2x+5y = 16

Let's start by solving x+y = 2 for the variable x.
Move the y to the right hand side by subtracting y from both sides, like this:
From the left hand side:
y - y = 0

The answer is x

From the right hand side:
The answer is 2-y


nowwww u solve 2x+5y = 16 for the variable y.


Move the 2x to the right hand side by subtracting 2x from both sides
From the left hand side:
2x - 2x = 0

The answer is 5y

From the right hand side:
The answer is 16-2x


now its
5y = 16-2x



The last step is to divide both sides of the equation by 5 like this:
To divide y by 1


The y just gets copied along in the numerator.

The answer is y

5y ÷ 5 = y

To divide 16-2x by 5

divide each term in 16-2x by 5 term by term.


16 ÷ 5 = 16/5

To divide x by 1


The x just gets copied along in the numerator.

The answer is x

-2x ÷ 5 = -2/5x

The solution to your equation is:
y =16/5-2/5x

Now, plug the earlier result, x=2-y, in for x everywhere it occurs in
y=16/5-2/5x.


his gives y=16/5-2/5(2-y). Now all we have to do is solve this for y,to have our first solution.
16/5 evaluates to 16/5


2/5 evaluates to 2/5

2-y evaluates to 2-y

Multiply 2/5 by 2-y

we multiply 2/5 by each term in 2-y term by term.

Multiply 2/5 and 2


1

2/5 × 2 =4/5

Multiply 2/5 and -y

Multiply 1 and y


The y just gets copied along.
Yeah you get the point just keep bringing it down then
Lastly, to find the solution for x, we plug this answer for y into the earlier result that
x=2-y.
This gives x=2-(4). Now, simplify this.
2-(4) evaluates to -2
x= -2

So, the solutions to your equations are:
x= -2 and y= 4

Answer 4

Thank you so much

Answer 5

Anytime !